What is 1/2 e^{-5t}sinh(3t) ?

The solution to 1/2 e^{-5t}sinh(3t) is (sinh(3t))/(2e^{5t)}

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simplify 1/2 e^{-5t}sinh(3t)

simplify

\frac{1}{2} e^{- 5 t} sinh (3 t)

\frac{sinh ( 3 t )}{2 e ^{5 t}}

Solution steps

\frac{1}{2} e^{- 5 t} sinh (3 t)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{2} \cdot \frac{1}{e ^{5 t}} sinh (3 t)

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{1 \cdot 1 \cdot sinh ( 3 t )}{2 e ^{5 t}}

Multiply:

1 \cdot 1 \cdot sinh (3 t) = sinh (3 t)

= \frac{sinh ( 3 t )}{2 e ^{5 t}}

(3)^{2.7}

(1.701 3^{- 6})

5.67 \cdot 1 0^{- 8} \cdot 0.13

e^{- 6} \frac{6 ^{8}}{8 !}

- e^{- \frac{0 ^{2}}{2}} 0

What is 1/2 e^{-5t}sinh(3t) ?
The solution to 1/2 e^{-5t}sinh(3t) is (sinh(3t))/(2e^{5t)}